Volume and Surface Area Questions Answers Online Quiz Test

• 1. Find the surface area of a 10cm*4cm*3cm brick.

  1. 154 cm square
  2. 156 cm square
  3. 160 cm square
  4. 164 cm square

• 2. A cistern 6 m long and 4 m wide contains water up to a breadth of 1 m 25 cm. Find the total area of the wet surface.

  1. 42 m sqaure
  2. 49 m sqaure
  3. 52 m sqaure
  4. 64 m sqaure

• 3. A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets into it. The mass of the man is :

  1. 50 kg
  2. 60 kg
  3. 70 kg
  4. 80 kg

• 4. How many bricks, each measuring 25cm*11.25cm*6cm, will be needed to build a wall 8m*6m*22.5m

  1. 6100
  2. 6200
  3. 6300
  4. 6400

• 5. A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is:

  1. 260
  2. 262
  3. 270
  4. 272

• 6. The perimeter of one face of a cube is 20 cm. Its volume will be:

  1. \begin{aligned} 125 cm^3 \end{aligned}
  2. \begin{aligned} 400 cm^3 \end{aligned}
  3. \begin{aligned} 250 cm^3 \end{aligned}
  4. \begin{aligned} 625 cm^3 \end{aligned}

• 7. The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side.

  1. Rs. 850
  2. Rs. 860
  3. Rs. 876
  4. Rs. 886

• 8. How many cubes of 10 cm edge can be put in a cubical box of 1 m edge.

  1. 10000 cubes
  2. 1000 cubes
  3. 100 cubes
  4. 50 cubes

• 9. If the volume of two cubes are in the ratio 27:1, the ratio of their edges is:

  1. 3:1
  2. 3:2
  3. 3:5
  4. 3:7

• 10. A circular well with a diameter of 2 meters, is dug to a depth of 14 meters. What is the volume of the earth dug out.

  1. \begin{aligned} 40 m^3 \end{aligned}
  2. \begin{aligned} 42 m^3 \end{aligned}
  3. \begin{aligned} 44 m^3 \end{aligned}
  4. \begin{aligned} 46 m^3 \end{aligned}

• 11. Two right circular cylinders of equal volumes have their heights in the ratio 1:2. Find the ratio of their radii.

  1. \begin{aligned} \sqrt{3}:1 \end{aligned}
  2. \begin{aligned} \sqrt{7}:1 \end{aligned}
  3. \begin{aligned} \sqrt{2}:1 \end{aligned}
  4. \begin{aligned} 2:1 \end{aligned}

• 12. A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by:

  1. \begin{aligned} 11\frac{3}{7} cm \end{aligned}
  2. \begin{aligned} 11\frac{2}{7} cm \end{aligned}
  3. \begin{aligned} 11\frac{1}{7} cm\end{aligned}
  4. \begin{aligned} 11 cm\end{aligned}

• 13. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length if the wire in meters will be:

  1. 76 m
  2. 80 m
  3. 84 m
  4. 88 m

• 14. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights 8g/cm cube, then find the weight of the pipe.

  1. 3.696 kg
  2. 3.686 kg
  3. 2.696 kg
  4. 2.686 kg

• 15. The curved surface of a right circular cone of height 15 cm and base diameter 16 cm is:

  1. \begin{aligned} 116 \pi cm^2 \end{aligned}
  2. \begin{aligned} 122 \pi cm^2 \end{aligned}
  3. \begin{aligned} 124 \pi cm^2 \end{aligned}
  4. \begin{aligned} 136 \pi cm^2 \end{aligned}

• 16. If a right circular cone of height 24 cm has a volume of 1232 cm cube, then the area of its curved surface is :

  1. \begin{aligned} 450 cm^2 \end{aligned}
  2. \begin{aligned} 550 cm^2 \end{aligned}
  3. \begin{aligned} 650 cm^2 \end{aligned}
  4. \begin{aligned} 750 cm^2 \end{aligned}

• 17. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m cube) is:

  1. 4120 m cube
  2. 4140 m cube
  3. 5140 m cube
  4. 5120 m cube

• 18. The maximum length of a pencil that can he kept is a rectangular box of dimensions 8 cm x 6 cm x 2 cm, is

  1. \begin{aligned} 2\sqrt{17} \end{aligned}
  2. \begin{aligned} 2\sqrt{16} \end{aligned}
  3. \begin{aligned} 2\sqrt{26} \end{aligned}
  4. \begin{aligned} 2\sqrt{24} \end{aligned}

• 19. The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km square. The height of mountain is :

  1. 2.3 km
  2. 2.4 km
  3. 2.5 km
  4. 2.6 km

• 20. The radii of two cones are in ratio 2:1, their volumes are equal. Find the ratio of their heights.

  1. 1:4
  2. 1:3
  3. 1:2
  4. 1:5